Document Type: Research Paper


1 University of Zagreb, Faculty of Textile Technology, 10000 Zagreb, Croatia.

2 RUDN University, Miklukho-Maklaya str. 6, 117198 Moscow, Russia.


By utilizing different scalar equalities obtained via Hermite's interpolating polynomial, we will obtain lower and upper bounds for the difference in Ando's inequality and in the Edmundson-Lah-Ribari\v c inequality for solidarities that hold for a class of $n$-convex functions. As an application, main results are applied to some operator means and relative operator entropy.


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